dc.contributor.advisor | Bhardwaj, Avinash | |
dc.contributor.advisor | Narayanan, Vishnu | |
dc.contributor.author | V, HRISHIKESH | |
dc.date.accessioned | 2023-05-16T06:30:04Z | |
dc.date.available | 2023-05-16T06:30:04Z | |
dc.date.issued | 2023-05 | |
dc.identifier.citation | 92 | en_US |
dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7869 | |
dc.description.abstract | The main focus of this thesis is the ‘Lonely Runner Conjecture’, an open problem that has remained unsolved for over half a century. The problem comes in different flavours. As a result, solving the Conjecture provides us with new information in various fields of Mathematics. First, we take a tour of Polyhedral theory and Discrete Geometry. On this tour, we will have a peek into concepts like ‘Polyhedra’, ‘Ehrhart theory’ and ‘Lattices’, and the field of ‘Geometry of Numbers’. Then, we go over the well-known results about the Conjecture. While doing so, we shall see a detailed description of the ‘Lonely Runner polyhedron’, and the results obtained using it. Finally, we make use of the various concepts that we learnt and obtain a few new results. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Lonely Runner Conjecture | en_US |
dc.subject | Polyhedra theory | en_US |
dc.subject | Lattice theory | en_US |
dc.subject | Geometry of Numbers | en_US |
dc.title | A Polyhedral Perspective of the Lonely Runner Conjecture | en_US |
dc.type | Thesis | en_US |
dc.description.embargo | One Year | en_US |
dc.type.degree | BS-MS | en_US |
dc.contributor.department | Dept. of Mathematics | en_US |
dc.contributor.registration | 20181189 | en_US |